Ophthalmic lenses for balancing coma aberrations

Abstract

The present disclosure provides an ophthalmic lens that is disposed to balance coma aberrations if the lens, when inserted in a patient's eye, is decentered or tilted with respect to an optical axis of the patient's eye, and maintain a substantially diffraction-limited image quality if the lens, when inserted in the patient's eye, is centered with respect to the optical axis of the patient's eye. The lens may include an optic having an anterior surface and an opposing posterior surface disposed about an optical axis of the lens. One of the surfaces (e.g., the anterior surface) may have a semi-aspheric surface profile, which includes an inner region having a substantially spherical surface profile and extending radially from the optical axis of the lens to a first boundary, and an outer region having an aspherical surface profile and extending radially at least beyond the first boundary to a second boundary.

The invention claimed is: 
     
       1. An intraocular lens (IOL), comprising:
 an optic having an anterior surface and an opposing posterior surface disposed about an optical axis of the intraocular lens, one of the anterior and posterior surfaces having an aspherical surface profile extending from the optical axis of the intraocular lens to a radially outermost edge of the optic, the other of the anterior and posterior surfaces having a semi-aspherical surface profile comprising:
 an inner region having a substantially spherical surface profile and extending radially from the optical axis of the intraocular lens to a first boundary; and 
 an outer region having an aspherical surface profile and extending radially at least beyond the first boundary to a second boundary; 
 
 wherein the other of the anterior and posterior surfaces having the semi-aspherical surface profile is disposed to maintain a substantially diffraction-limited image quality if the intraocular lens, when inserted in a patient's eye, is centered with respect to an optical axis of the patient's eye, and balance coma aberrations if the intraocular lens, when inserted in the patient's eye, is decentered with respect to the optical axis of the patient's eye. 
 
     
     
       2. The intraocular lens of  claim 1 , wherein the second boundary is formed between the first boundary and the radially outermost edge of the optic. 
     
     
       3. The intraocular lens of  claim 1 , wherein the second boundary comprises the radially outermost edge of the optic. 
     
     
       4. The intraocular lens of  claim 1 , wherein a composite surface profile of the other of the anterior and posterior surfaces is defined by an equation: 
       
         
           
             
               
                 
                   z 
                   ⁡ 
                   ( 
                   x 
                   ) 
                 
                 = 
                 
                   
                     
                       
                         cx 
                         2 
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               
                                 c 
                                 2 
                               
                               ⁢ 
                               
                                 x 
                                 2 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       
                         
                           a 
                             
                         
                         4 
                       
                       ⁢ 
                       
                         x 
                         4 
                       
                     
                     + 
                     
                       
                         
                           a 
                             
                         
                         6 
                       
                       ⁢ 
                       
                         x 
                         6 
                       
                     
                     + 
                     
                       
                         a 
                         8 
                       
                       ⁢ 
                       
                         x 
                         8 
                       
                       ⁢ 
                           
                       where 
                       ⁢ 
                           
                       0 
                     
                   
                   < 
                   x 
                   < 
                   R 
                 
               
               , 
             
           
         
         wherein
 x denotes a radial distance from the optical axis of the intraocular lens, 
 c denotes a base curvature of the other of the anterior and posterior surfaces, 
 R denotes a total radial distance from the optical axis of the intraocular lens to the second boundary, 
 a 4  is a fourth order aspheric coefficient, 
 a 6  is a sixth order aspheric coefficient, and 
 a 8  is an eighth order aspheric coefficient. 
 
       
     
     
       5. The intraocular lens of  claim 4 , wherein the a 4  aspheric coefficient comprises a value ranging from −9.6550×10 −4  mm to −3.1286×10 −4  mm. 
     
     
       6. The intraocular lens of  claim 4 , wherein the a 6  aspheric coefficient comprises a value ranging from −1.4229×10 −4  mm to 2.3848×10 −4  mm. 
     
     
       7. The intraocular lens of  claim 4 , wherein the as aspheric coefficient comprises a value ranging from −1.9439×10 −4  mm to 2.0641×10 −4  mm. 
     
     
       8. The intraocular lens of  claim 1 , wherein the inner region comprises a radius having a value ranging from 0 mm to 1.5 mm. 
     
     
       9. The intraocular lens of  claim 1 , wherein the outer region comprises a radius having a value ranging from 1.5 mm to 3.0 mm. 
     
     
       10. The intraocular lens of  claim 1 , wherein the intraocular lens is a monofocal intraocular lens. 
     
     
       11. The intraocular lens of  claim 1 , wherein the intraocular lens is one of a monofocal intraocular lens with an extended depth of focus and a multifocal intraocular lens. 
     
     
       12. An intraocular lens (IOL), comprising:
 an optic having an anterior surface and an opposing posterior surface disposed about an optical axis of the intraocular lens, one of the anterior and posterior surfaces having an aspherical surface profile, the other of the anterior and posterior surfaces having a semi-aspherical surface profile comprising: 
 an inner region having a substantially spherical surface profile and extending radially from the optical axis of the intraocular lens to a first boundary; and 
 an outer region having an aspherical surface profile and extending radially at least beyond the first boundary to a second boundary; 
 wherein the other of the anterior and posterior surfaces having the semi-aspherical surface profile is disposed to maintain a substantially diffraction-limited image quality if the intraocular lens, when inserted in a patient's eye, is centered with respect to an optical axis of the patient's eye, and balance coma aberrations if the intraocular lens, when inserted in the patient's eye, is decentered with respect to the optical axis of the patient's eye; and 
 wherein a composite surface profile of the other of the anterior and posterior surfaces is defined by an equation: 
 
       
         
           
             
               
                 
                   z 
                   ⁡ 
                   ( 
                   x 
                   ) 
                 
                 = 
                 
                   
                     
                       
                         cx 
                         2 
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               
                                 c 
                                 2 
                               
                               ⁢ 
                               
                                 x 
                                 2 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       
                         
                           a 
                             
                         
                         4 
                       
                       ⁢ 
                       
                         x 
                         4 
                       
                     
                     + 
                     
                       
                         
                           a 
                             
                         
                         6 
                       
                       ⁢ 
                       
                         x 
                         6 
                       
                     
                     + 
                     
                       
                         a 
                         8 
                       
                       ⁢ 
                       
                         x 
                         8 
                       
                       ⁢ 
                           
                       where 
                       ⁢ 
                           
                       0 
                     
                   
                   < 
                   x 
                   < 
                   R 
                 
               
               , 
             
           
         
         wherein,
 x denotes a radial distance from the optical axis of the intraocular lens, 
 c denotes a base curvature of the other of the anterior and posterior surfaces, 
 R denotes a total radial distance from the optical axis of the intraocular lens to the second boundary, 
 a 4  is a fourth order aspheric coefficient, 
 a 6  is a sixth order aspheric coefficient, and 
 a 8  is an eighth order aspheric coefficient. 
 
       
     
     
       13. The intraocular lens of  claim 12 , wherein the second boundary is formed between the first boundary and a radially outermost edge of the optic. 
     
     
       14. The intraocular lens of  claim 12 , wherein the second boundary comprises a radially outermost edge of the optic. 
     
     
       15. The intraocular lens of  claim 12 , wherein the a 4  aspheric coefficient comprises a value ranging from −9.6550×10 −4  mm to −3.1286×10 −4  mm. 
     
     
       16. The intraocular lens of  claim 12 , wherein the a 6  aspheric coefficient comprises a value ranging from −1.4229×10 −4  mm to 2.3848×10 −4  mm. 
     
     
       17. The intraocular lens of  claim 12 , wherein the a 8  aspheric coefficient comprises a value ranging from −1.9439×10 −4  mm to 2.0641×10 −4  mm. 
     
     
       18. The intraocular lens of  claim 12 , wherein the inner region comprises a radius having a value ranging from 0 mm to 1.5 mm. 
     
     
       19. The intraocular lens of  claim 12 , wherein the outer region comprises a radius having a value ranging from 1.5 mm to 3.0 mm. 
     
     
       20. The intraocular lens of  claim 12 , wherein the intraocular lens is a monofocal intraocular lens. 
     
     
       21. The intraocular lens of  claim 12 , wherein the intraocular lens is one of a monofocal intraocular lens with an extended depth of focus and a multifocal intraocular lens.